117:@0.937671:0.974518:0.968375:0.974518:0.968375:0.956333:0.937671:0.956333:0.000000:0.000000:0.000000 Pensamiento espacial, métrico y variacional:@0.538113:0.043660:0.926913:0.043660:0.926913:0.024915:0.538113:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Evaluación formativa:@0.131433:0.098522:0.446328:0.098522:0.446328:0.067281:0.131433:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1. La parábola ( , ) :@0.073089:0.144571:0.327342:0.144571:0.327342:0.127901:0.073089:0.127901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.211278:0.144016:0.226611:0.144016:0.226611:0.130301:0.211278:0.130301:0.000000 5:@0.230563:0.149906:0.234650:0.149906:0.234650:0.126624:0.230563:0.126624:0.000000 5:@0.251339:0.144016:0.266672:0.144016:0.266672:0.130301:0.251339:0.130301:0.000000 x y:@0.275562:0.144571:0.299289:0.144571:0.299289:0.127887:0.275562:0.127887:0.000000:0.000000:0.000000 [:@0.308199:0.144432:0.323532:0.144432:0.323532:0.130384:0.308199:0.130384:0.000000 R:@0.327268:0.143711:0.340558:0.143711:0.340558:0.130814:0.327268:0.130814:0.000000 2:@0.340450:0.138507:0.345955:0.138507:0.345955:0.128789:0.340450:0.128789:0.000000 | :@0.345908:0.144571:0.388889:0.144571:0.388889:0.127901:0.345908:0.127901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.357873:0.144571:0.365991:0.144571:0.365991:0.127887:0.357873:0.127887:0.000000 5:@0.369746:0.144016:0.385079:0.144016:0.385079:0.130301:0.369746:0.130301:0.000000 1:@0.391304:0.141094:0.400287:0.141094:0.400287:0.125381:0.391304:0.125381:0.000000 2:@0.390420:0.153090:0.399403:0.153090:0.399403:0.137377:0.390420:0.137377:0.000000 x:@0.402164:0.144571:0.410282:0.144571:0.410282:0.127887:0.402164:0.127887:0.000000 2:@0.410215:0.138507:0.415720:0.138507:0.415720:0.128789:0.410215:0.128789:0.000000 6:@0.415894:0.145569:0.419981:0.145569:0.419981:0.122287:0.415894:0.122287:0.000000 se traslada al centro ( 1, 2).:@0.420648:0.144571:0.664637:0.144571:0.664637:0.127901:0.420648:0.127901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5 2:@0.589903:0.144016:0.629460:0.144016:0.629460:0.130301:0.589903:0.130301:0.000000:0.000000:0.000000 a. :@0.104633:0.179081:0.120077:0.179081:0.120077:0.163369:0.104633:0.163369:0.000000:0.000000:0.000000 Demuestra:@0.134834:0.179081:0.221770:0.179081:0.221770:0.162134:0.134834:0.162134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 que:@0.221679:0.179081:0.254168:0.179081:0.254168:0.163369:0.221679:0.163369:0.000000:0.000000:0.000000:0.000000 ( ) ( , ) | 2 ( 1) . :@0.145125:0.216683:0.450185:0.216683:0.450185:0.200970:0.145125:0.200970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.166444:0.216128:0.181777:0.216128:0.181777:0.202413:0.166444:0.202413:0.000000 5:@0.187146:0.221597:0.191232:0.221597:0.191232:0.198315:0.187146:0.198315:0.000000 5:@0.205521:0.216128:0.220854:0.216128:0.220854:0.202413:0.205521:0.202413:0.000000 x y:@0.227665:0.216683:0.249588:0.216683:0.249588:0.201248:0.227665:0.201248:0.000000:0.000000:0.000000 [:@0.256417:0.216544:0.271750:0.216544:0.271750:0.202496:0.256417:0.202496:0.000000 R:@0.275616:0.215823:0.288906:0.215823:0.288906:0.202926:0.275616:0.202926:0.000000 2:@0.288836:0.210619:0.294073:0.210619:0.294073:0.201459:0.288836:0.201459:0.000000 y:@0.303910:0.216683:0.311383:0.216683:0.311383:0.201248:0.303910:0.201248:0.000000 2 5:@0.315267:0.216128:0.362647:0.216128:0.362647:0.202413:0.315267:0.202413:0.000000:0.000000:0.000000 1:@0.368986:0.213086:0.377969:0.213086:0.377969:0.197373:0.368986:0.197373:0.000000 2:@0.368102:0.225082:0.377085:0.225082:0.377085:0.209369:0.368102:0.209369:0.000000 x:@0.388591:0.216683:0.396046:0.216683:0.396046:0.201248:0.388591:0.201248:0.000000 1:@0.399930:0.216128:0.415263:0.216128:0.415263:0.202413:0.399930:0.202413:0.000000 2:@0.432822:0.210619:0.438059:0.210619:0.438059:0.201459:0.432822:0.201459:0.000000 6:@0.438232:0.218570:0.442319:0.218570:0.442319:0.195288:0.438232:0.195288:0.000000 Obtén:@0.138074:0.251195:0.187882:0.251195:0.187882:0.234248:0.138074:0.234248:0.000000:0.000000:0.000000:0.000000:0.000000 el foco de y el de ( ). (2, 0), 1 (0, 3), :@0.187792:0.251195:0.596500:0.251195:0.596500:0.235482:0.187792:0.235482:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c:@0.366439:0.251195:0.381955:0.251195:0.381955:0.235759:0.366439:0.235759:0.000000:0.000000:0.000000 5:@0.385847:0.250640:0.401180:0.250640:0.401180:0.236924:0.385847:0.236924:0.000000 r:@0.450530:0.251195:0.455813:0.251195:0.455813:0.235759:0.450530:0.235759:0.000000 5:@0.459697:0.250640:0.475030:0.250640:0.475030:0.236924:0.459697:0.236924:0.000000 c:@0.491744:0.251195:0.499401:0.251195:0.499401:0.235759:0.491744:0.235759:0.000000 5:@0.503285:0.250640:0.518619:0.250640:0.518619:0.236924:0.503285:0.236924:0.000000 r:@0.567968:0.251195:0.573251:0.251195:0.573251:0.235759:0.567968:0.235759:0.000000 5:@0.577135:0.250640:0.592468:0.250640:0.592468:0.236924:0.577135:0.236924:0.000000 b. En el mismo sistema de coordenadas rectangulares, :@0.104633:0.285705:0.504927:0.285705:0.504927:0.269992:0.104633:0.269992:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 traza:@0.504360:0.285705:0.543158:0.285705:0.543158:0.268758:0.504360:0.268758:0.000000:0.000000:0.000000:0.000000:0.000000 en tu cuaderno las gráficas de las parábolas y ( ).:@0.542886:0.285705:0.914719:0.285705:0.914719:0.269992:0.542886:0.269992:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2. La parábola (x, y) :@0.073089:0.321074:0.328262:0.321074:0.328262:0.304404:0.073089:0.304404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.211278:0.320519:0.226611:0.320519:0.226611:0.306804:0.211278:0.306804:0.000000 5:@0.230563:0.325201:0.234650:0.325201:0.234650:0.301920:0.230563:0.301920:0.000000 5:@0.251339:0.320519:0.266672:0.320519:0.266672:0.306804:0.251339:0.306804:0.000000 [:@0.309119:0.320935:0.324452:0.320935:0.324452:0.306887:0.309119:0.306887:0.000000 R:@0.328189:0.320214:0.341479:0.320214:0.341479:0.307317:0.328189:0.307317:0.000000 2:@0.341383:0.315010:0.346889:0.315010:0.346889:0.305292:0.341383:0.305292:0.000000 | y x :@0.346844:0.321074:0.430292:0.321074:0.430292:0.304404:0.346844:0.304404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.367406:0.315010:0.372912:0.315010:0.372912:0.305292:0.367406:0.305292:0.000000 5:@0.376694:0.320519:0.392027:0.320519:0.392027:0.306804:0.376694:0.306804:0.000000 1:@0.398240:0.316018:0.407223:0.316018:0.407223:0.300306:0.398240:0.300306:0.000000 2:@0.397357:0.328014:0.406339:0.328014:0.406339:0.312302:0.397357:0.312302:0.000000 6:@0.421589:0.325300:0.425675:0.325300:0.425675:0.302018:0.421589:0.302018:0.000000 se traslada al centro ( 1, 2).:@0.103210:0.355584:0.343361:0.355584:0.343361:0.338915:0.103210:0.338915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5 2:@0.268628:0.355030:0.308185:0.355030:0.308185:0.341314:0.268628:0.341314:0.000000:0.000000:0.000000 a. :@0.104633:0.390095:0.120077:0.390095:0.120077:0.374382:0.104633:0.374382:0.000000:0.000000:0.000000 Muestra:@0.134834:0.390095:0.199460:0.390095:0.199460:0.373148:0.134834:0.373148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 que:@0.199370:0.390095:0.231859:0.390095:0.231859:0.374382:0.199370:0.374382:0.000000:0.000000:0.000000:0.000000 ( ) { ( , ) | 2y 8 7 0 }. :@0.145124:0.424606:0.467140:0.424606:0.467140:0.408894:0.145124:0.408894:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.166468:0.424052:0.181801:0.424052:0.181801:0.410336:0.166468:0.410336:0.000000 5:@0.203734:0.424052:0.219067:0.424052:0.219067:0.410336:0.203734:0.410336:0.000000 x y:@0.225878:0.424606:0.247801:0.424606:0.247801:0.409171:0.225878:0.409171:0.000000:0.000000:0.000000 [:@0.254630:0.424468:0.269963:0.424468:0.269963:0.410419:0.254630:0.410419:0.000000 R:@0.273829:0.423746:0.287119:0.423746:0.287119:0.410849:0.273829:0.410849:0.000000 2:@0.287047:0.418542:0.292284:0.418542:0.292284:0.409382:0.287047:0.409382:0.000000 x:@0.302122:0.424606:0.309577:0.424606:0.309577:0.409171:0.302122:0.409171:0.000000 2:@0.312541:0.424052:0.327874:0.424052:0.327874:0.410336:0.312541:0.410336:0.000000 2:@0.347731:0.418542:0.352967:0.418542:0.352967:0.409382:0.347731:0.409382:0.000000 1:@0.355957:0.424052:0.371290:0.424052:0.371290:0.410336:0.355957:0.410336:0.000000 y:@0.383126:0.424606:0.390599:0.424606:0.390599:0.409171:0.383126:0.409171:0.000000 2 5:@0.393563:0.424052:0.439103:0.424052:0.439103:0.410336:0.393563:0.410336:0.000000:0.000000:0.000000 Obtén:@0.467026:0.424606:0.516835:0.424606:0.516835:0.407659:0.467026:0.407659:0.000000:0.000000:0.000000:0.000000:0.000000 el foco de y el de ( ).:@0.516744:0.424606:0.695480:0.424606:0.695480:0.408894:0.516744:0.408894:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b. En el mismo sistema de coordenadas rectangulares, :@0.104633:0.459117:0.504927:0.459117:0.504927:0.443404:0.104633:0.443404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 traza:@0.504360:0.459117:0.543158:0.459117:0.543158:0.442170:0.504360:0.442170:0.000000:0.000000:0.000000:0.000000:0.000000 en tu cuaderno las gráficas de las parábolas y ( ).:@0.542886:0.459117:0.914719:0.459117:0.914719:0.443404:0.542886:0.443404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3. En cada ítem se define una ecuación cuadrática. :@0.073089:0.493627:0.470426:0.493627:0.470426:0.476957:0.073089:0.476957:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Muestra:@0.470365:0.493627:0.534991:0.493627:0.534991:0.476680:0.470365:0.476680:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 que esta es la ecuación de una parábola, :@0.534901:0.493627:0.849439:0.493627:0.849439:0.476957:0.534901:0.476957:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 precisa:@0.849408:0.493627:0.905620:0.493627:0.905620:0.476680:0.849408:0.476680:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 su :@0.905531:0.493627:0.930814:0.493627:0.930814:0.476957:0.905531:0.476957:0.000000:0.000000:0.000000:0.000000 centro, el eje con el foco y :@0.103214:0.510269:0.302002:0.510269:0.302002:0.493599:0.103214:0.493599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 traza:@0.301829:0.510269:0.341364:0.510269:0.341364:0.493322:0.301829:0.493322:0.000000:0.000000:0.000000:0.000000:0.000000 en tu cuaderno su gráfica.:@0.341275:0.510269:0.540834:0.510269:0.540834:0.493599:0.341275:0.493599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. :@0.104633:0.544779:0.120077:0.544779:0.120077:0.529067:0.104633:0.529067:0.000000:0.000000:0.000000 ( , ) tal que 4 :@0.143251:0.544779:0.393404:0.544779:0.393404:0.529067:0.143251:0.529067:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.147202:0.544225:0.162535:0.544225:0.162535:0.530509:0.147202:0.530509:0.000000 x y:@0.169346:0.544779:0.191269:0.544779:0.191269:0.529344:0.169346:0.529344:0.000000:0.000000:0.000000 [:@0.198098:0.544641:0.213431:0.544641:0.213431:0.530592:0.198098:0.530592:0.000000 R:@0.217297:0.543919:0.230587:0.543919:0.230587:0.531022:0.217297:0.531022:0.000000 2:@0.230517:0.538715:0.235753:0.538715:0.235753:0.529555:0.230517:0.529555:0.000000 x:@0.302598:0.544779:0.310053:0.544779:0.310053:0.529344:0.302598:0.529344:0.000000 2:@0.313937:0.544225:0.329270:0.544225:0.329270:0.530509:0.313937:0.530509:0.000000 y:@0.333135:0.544779:0.340609:0.544779:0.340609:0.529344:0.333135:0.529344:0.000000 2:@0.340540:0.538715:0.345777:0.538715:0.345777:0.529555:0.340540:0.529555:0.000000 1:@0.349687:0.544225:0.365020:0.544225:0.365020:0.530509:0.349687:0.530509:0.000000 y –:@0.368886:0.544779:0.389446:0.544779:0.389446:0.529344:0.368886:0.529344:0.000000:0.000000:0.000000 31:@0.395802:0.540697:0.413767:0.540697:0.413767:0.524984:0.395802:0.524984:0.000000:0.000000 4:@0.398876:0.552693:0.407859:0.552693:0.407859:0.536980:0.398876:0.536980:0.000000 0.:@0.412059:0.544779:0.447327:0.544779:0.447327:0.529067:0.412059:0.529067:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.416016:0.544225:0.431350:0.544225:0.431350:0.530509:0.416016:0.530509:0.000000 b. :@0.104633:0.579291:0.121531:0.579291:0.121531:0.563578:0.104633:0.563578:0.000000:0.000000:0.000000 ( , ) tal que 5 40 4 85 0.:@0.143251:0.579291:0.464334:0.579291:0.464334:0.563578:0.143251:0.563578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.146650:0.578736:0.161983:0.578736:0.161983:0.565021:0.146650:0.565021:0.000000 x y:@0.168794:0.579291:0.190165:0.579291:0.190165:0.563856:0.168794:0.563856:0.000000:0.000000:0.000000 [:@0.196994:0.579152:0.212327:0.579152:0.212327:0.565104:0.196994:0.565104:0.000000 R:@0.215640:0.578431:0.228930:0.578431:0.228930:0.565534:0.215640:0.565534:0.000000 2:@0.228860:0.573227:0.234097:0.573227:0.234097:0.564067:0.228860:0.564067:0.000000 x:@0.300021:0.579291:0.307476:0.579291:0.307476:0.563856:0.300021:0.563856:0.000000 2:@0.307414:0.573227:0.312651:0.573227:0.312651:0.564067:0.307414:0.564067:0.000000 2:@0.314904:0.578736:0.330237:0.578736:0.330237:0.565021:0.314904:0.565021:0.000000 x:@0.350798:0.579291:0.358253:0.579291:0.358253:0.563856:0.350798:0.563856:0.000000 1:@0.361032:0.578736:0.376366:0.578736:0.376366:0.565021:0.361032:0.565021:0.000000 y +:@0.388017:0.579291:0.409609:0.579291:0.409609:0.563856:0.388017:0.563856:0.000000:0.000000:0.000000 5:@0.433759:0.578736:0.449093:0.578736:0.449093:0.565021:0.433759:0.565021:0.000000 4. :@0.073089:0.613801:0.090097:0.613801:0.090097:0.597132:0.073089:0.597132:0.000000:0.000000:0.000000 Considera:@0.103288:0.613801:0.182454:0.613801:0.182454:0.596854:0.103288:0.596854:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la parábola {( , ) :@0.182366:0.613801:0.370581:0.613801:0.370581:0.597132:0.182366:0.597132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.289828:0.613247:0.305161:0.613247:0.305161:0.599531:0.289828:0.599531:0.000000 x y:@0.320108:0.613801:0.342528:0.613801:0.342528:0.598366:0.320108:0.598366:0.000000:0.000000:0.000000 [:@0.351437:0.613663:0.366770:0.613663:0.366770:0.599614:0.351437:0.599614:0.000000 R:@0.370507:0.612941:0.383797:0.612941:0.383797:0.600044:0.370507:0.600044:0.000000 2:@0.383702:0.607737:0.389207:0.607737:0.389207:0.598019:0.383702:0.598019:0.000000 | 5 }. :@0.389162:0.613801:0.466514:0.613801:0.466514:0.597132:0.389162:0.597132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.401127:0.613801:0.408600:0.613801:0.408600:0.598366:0.401127:0.598366:0.000000 2:@0.408540:0.607737:0.414045:0.607737:0.414045:0.598019:0.408540:0.598019:0.000000 5:@0.417827:0.613247:0.433160:0.613247:0.433160:0.599531:0.417827:0.599531:0.000000 x:@0.446266:0.613801:0.453721:0.613801:0.453721:0.598366:0.446266:0.598366:0.000000 Encuentra:@0.103210:0.648305:0.184648:0.648305:0.184648:0.631636:0.103210:0.631636:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 las ecuaciones cartesianas de las rectas tangentes a la gráfica de en el punto de abscisa :@0.185049:0.648305:0.930943:0.648312:0.930943:0.632599:0.185049:0.632593:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.103205:0.664953:0.110660:0.664953:0.110660:0.649518:0.103205:0.649518:0.000000 0:@0.110599:0.668126:0.115836:0.668126:0.115836:0.658965:0.110599:0.658965:0.000000 3. :@0.115789:0.664953:0.155015:0.664953:0.155015:0.649241:0.115789:0.649241:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.119746:0.664399:0.135079:0.664399:0.135079:0.650683:0.119746:0.650683:0.000000 Traza:@0.154904:0.664953:0.194470:0.664953:0.194470:0.648284:0.154904:0.648284:0.000000:0.000000:0.000000:0.000000:0.000000 en tu cuaderno las gráficas de la parábola y de las tangentes.:@0.194388:0.664953:0.636777:0.664953:0.636777:0.649241:0.194388:0.649241:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5. :@0.073089:0.699464:0.090097:0.699464:0.090097:0.682794:0.073089:0.682794:0.000000:0.000000:0.000000 Considera la parábola:@0.103288:0.699464:0.274358:0.699464:0.274358:0.682517:0.103288:0.682517:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 {( , ) | :@0.115002:0.733975:0.263486:0.733975:0.263486:0.718263:0.115002:0.718263:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.118953:0.733421:0.134286:0.733421:0.134286:0.719705:0.118953:0.719705:0.000000 x y:@0.147742:0.733975:0.169665:0.733975:0.169665:0.718540:0.147742:0.718540:0.000000:0.000000:0.000000 [:@0.178335:0.733837:0.193668:0.733837:0.193668:0.719788:0.178335:0.719788:0.000000 R:@0.197534:0.733116:0.210824:0.733116:0.210824:0.720218:0.197534:0.720218:0.000000 2:@0.210745:0.727912:0.215982:0.727912:0.215982:0.718751:0.210745:0.718751:0.000000 y:@0.227662:0.733975:0.235135:0.733975:0.235135:0.718540:0.227662:0.718540:0.000000 2:@0.235065:0.727912:0.240302:0.727912:0.240302:0.718751:0.235065:0.718751:0.000000 5 2:@0.244213:0.733421:0.278745:0.733421:0.278745:0.719705:0.244213:0.719705:0.000000:0.000000:0.000000 x:@0.278653:0.733975:0.286108:0.733975:0.286108:0.718540:0.278653:0.718540:0.000000 }. :@0.286035:0.733975:0.298073:0.733975:0.298073:0.718263:0.286035:0.718263:0.000000:0.000000:0.000000 Obtén:@0.103214:0.768480:0.154215:0.768480:0.154215:0.751810:0.103214:0.751810:0.000000:0.000000:0.000000:0.000000:0.000000 las ecuaciones cartesianas de las rectas tangentes a la gráfica de en el punto de abscisa :@0.154791:0.768480:0.930943:0.768486:0.930943:0.752773:0.154791:0.752767:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.103205:0.785128:0.110660:0.785128:0.110660:0.769692:0.103205:0.769692:0.000000 0:@0.110599:0.788300:0.115836:0.788300:0.115836:0.779140:0.110599:0.779140:0.000000 9. :@0.115789:0.785128:0.170256:0.785128:0.170256:0.769415:0.115789:0.769415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5 2:@0.119746:0.784573:0.154278:0.784573:0.154278:0.770857:0.119746:0.770857:0.000000:0.000000:0.000000 Comprueba:@0.170164:0.785128:0.260705:0.785128:0.260705:0.768458:0.170164:0.768458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 que estas están definidas como::@0.260599:0.785128:0.496193:0.785128:0.496193:0.769415:0.260599:0.769415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 L:@0.103235:0.820505:0.110856:0.820505:0.110856:0.805070:0.103235:0.805070:0.000000 1:@0.110764:0.823682:0.116001:0.823682:0.116001:0.814521:0.110764:0.814521:0.000000 : (x, y) tal que y 3 (x 9), :@0.115954:0.820509:0.409435:0.820509:0.409435:0.804797:0.115954:0.804797:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 [:@0.159487:0.820371:0.174821:0.820371:0.174821:0.806322:0.159487:0.806322:0.000000 R:@0.178686:0.819649:0.191976:0.819649:0.191976:0.806752:0.178686:0.806752:0.000000 2:@0.191870:0.814445:0.197107:0.814445:0.197107:0.805285:0.191870:0.805285:0.000000 2 5 2:@0.267025:0.819955:0.333604:0.819955:0.333604:0.806239:0.267025:0.806239:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.338818:0.815441:0.347801:0.815441:0.347801:0.799728:0.338818:0.799728:0.000000 6:@0.338358:0.827437:0.347341:0.827437:0.347341:0.811724:0.338358:0.811724:0.000000 1:@0.369291:0.819955:0.384624:0.819955:0.384624:0.806239:0.369291:0.806239:0.000000 L:@0.103214:0.855637:0.110834:0.855637:0.110834:0.840202:0.103214:0.840202:0.000000 2:@0.110764:0.858811:0.116001:0.858811:0.116001:0.849650:0.110764:0.849650:0.000000 : (x, y) tal que y 3 (x 9).:@0.115954:0.855639:0.386213:0.855639:0.386213:0.839926:0.115954:0.839926:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 [:@0.159487:0.855500:0.174821:0.855500:0.174821:0.841451:0.159487:0.841451:0.000000 R:@0.178686:0.854779:0.191976:0.854779:0.191976:0.841881:0.178686:0.841881:0.000000 2:@0.191870:0.849575:0.197107:0.849575:0.197107:0.840414:0.191870:0.840414:0.000000 1 5:@0.267025:0.855084:0.314405:0.855084:0.314405:0.841368:0.267025:0.841368:0.000000:0.000000:0.000000 1:@0.319628:0.850824:0.328610:0.850824:0.328610:0.835111:0.319628:0.835111:0.000000 6:@0.319168:0.862820:0.328150:0.862820:0.328150:0.847107:0.319168:0.847107:0.000000 1:@0.350098:0.855084:0.365432:0.855084:0.365432:0.841368:0.350098:0.841368:0.000000 Traza:@0.103202:0.890143:0.142768:0.890143:0.142768:0.873473:0.103202:0.873473:0.000000:0.000000:0.000000:0.000000:0.000000 en tu cuaderno las gráficas de la parábola y de las tangentes.:@0.142686:0.890143:0.585065:0.890143:0.585065:0.874430:0.142686:0.874430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000